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Finding the Fourth Proportional to 716.64, 1,074.48 and 500.16

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Solution

The fourth proportional to 716.64, 1,074.48 and 500.16 is: 749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.64 : 1,074.48 = 500.16 : x
  2. Step 2: Convert to fraction form
    716.64/1,074.48 = 500.16/x
  3. Step 3: Cross multiply
    716.64x = 1,074.48 × 500.16
  4. Step 4: Simplify right side
    716.64x = 537,411.92
  5. Step 5: Solve for x
    x = 537,411.92/716.64
  6. Step 6: Final answer
    x = 749.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.